diff --git a/tests/hwsim/test_sae.py b/tests/hwsim/test_sae.py
index 2a2b887a4..75003fac1 100644
--- a/tests/hwsim/test_sae.py
+++ b/tests/hwsim/test_sae.py
@@ -1322,6 +1322,19 @@ def test_sae_password_id_ffc(dev, apdev):
     """SAE and password identifier (FFC)"""
     run_sae_password_id(dev, apdev, "22")
 
+def test_sae_password_id_only(dev, apdev):
+    """SAE and password identifier (exclusively)"""
+    if "SAE" not in dev[0].get_capability("auth_alg"):
+        raise HwsimSkip("SAE not supported")
+    params = hostapd.wpa2_params(ssid="test-sae")
+    params['wpa_key_mgmt'] = 'SAE'
+    params['sae_password'] = 'secret|id=pw id'
+    hapd = hostapd.add_ap(apdev[0], params)
+
+    dev[0].request("SET sae_groups ")
+    dev[0].connect("test-sae", sae_password="secret", sae_password_id="pw id",
+                   key_mgmt="SAE", scan_freq="2412")
+
 def test_sae_forced_anti_clogging_pw_id(dev, apdev):
     """SAE anti clogging (forced and Password Identifier)"""
     if "SAE" not in dev[0].get_capability("auth_alg"):